In an experiment, the percentage of error occurred in the measurement of physical quantities A, B, C and D are 1%, 2%, 3% and 4%, respectively. Then…

Question

In an experiment, the percentage of error occurred in the measurement of physical quantities A, B, C and D are 1%, 2%, 3% and 4%, respectively. Then the maximum percentage of error in the measurement X, where X=(A^2B^12)/(C^13D^3) will be

MARKS Content Team · Accepted Answer

Correct answer: (B) 16%. Given: Percentage error in A, B, C and D is 1%, 2%, 3% and 4%, respectively. The maximum percentage error in X is given by, (∆X)/X×100=2(∆A)/A×100+1/2(∆B)/B×100+1/3(∆C)/C×100+3(∆D)/D×100 (∆X)/X×100=2×1+1/2×2+1/3×3+3×4 (∆X)/X×100=16%. will be the maximum percentage error in X.

In an experiment, the percentage of error occurred in the measurement of physical quantities $A, B, C$ and $D$ are 1%, 2%, 3% and 4%, respectively. Then the maximum percentage of error in the measurement $X$ , where $X = \frac{A^{2} B^{\frac{1}{2}}}{C^{\frac{1}{3}} D^{3}}$ will be

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Relevant Questions

In an experiment, the percentage of error occurred in the measurement of physical quantities A, B, C and D are 1%, 2%, 3% and 4%, respectively. Then the maximum percentage of error in the measurement X, where X=A2B12C13D3 will be

Solution

Relevant Questions

In an experiment, the percentage of error occurred in the measurement of physical quantities $A, B, C$ and $D$ are 1%, 2%, 3% and 4%, respectively. Then the maximum percentage of error in the measurement $X$ , where $X = \frac{A^{2} B^{\frac{1}{2}}}{C^{\frac{1}{3}} D^{3}}$ will be